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Simplifying r(r + 2) + (r + 2) = 0 Reorder the terms: r(2 + r) + (r + 2) = 0 (2 * r + r * r) + (r + 2) = 0 (2r + r2) + (r + 2) = 0 Reorder the terms: 2r + r2 + (2 + r) = 0 Remove parenthesis around (2 + r) 2r + r2 + 2 + r = 0 Reorder the terms: 2 + 2r + r + r2 = 0 Combine like terms: 2r + r = 3r 2 + 3r + r2 = 0 Solving 2 + 3r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (2 + r)(1 + r) = 0Subproblem 1
Set the factor '(2 + r)' equal to zero and attempt to solve: Simplifying 2 + r = 0 Solving 2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r = 0 + -2 r = 0 + -2 Combine like terms: 0 + -2 = -2 r = -2 Simplifying r = -2Subproblem 2
Set the factor '(1 + r)' equal to zero and attempt to solve: Simplifying 1 + r = 0 Solving 1 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r = 0 + -1 r = 0 + -1 Combine like terms: 0 + -1 = -1 r = -1 Simplifying r = -1Solution
r = {-2, -1}
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